The median of the numbers 8, 11, 13, 15, x+1, x+3, 30, 35, 40, 43 arranged in ascending order is 23. What is the value of x?
Answer: C
The data set has 10 observations (an even number). The median is the average of the 5th and 6th terms.
5th term = x + 1
6th term = x + 3
Median = \(\frac{(x + 1) + (x + 3)}{2}\)
Given that the median is 23:
\(\frac{2x + 4}{2} = 23\)
x + 2 = 23
x = 21.